Free Access
Volume 42, Number 4, July-August 2008
Page(s) 683 - 698
Published online 05 June 2008
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  4. E. Audusse, M.-O. Bristeau and B. Perthame, Kinetic schemes for Saint-Venant equations with source terms on unstructured grids. INRIA Report, RR-3989 (2000).
  5. E. Audusse, F. Bouchut, M.-O. Bristeau, R. Klein and B. Perthame, A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM J. Sci. Comput. 25 (2004) 2050–2065 (electronic). [CrossRef] [MathSciNet]
  6. D.S. Bale, R.J. Leveque, S. Mitran and J.A. Rossmanith, A wave propagation method for conservation laws and balance laws with spatially varying flux functions. SIAM J. Sci. Comput. 24 (2002) 955–978 (electronic) [CrossRef] [MathSciNet]
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  9. F. Bouchut, Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Frontiers in Mathematics. Birkhäuser Verlag, Basel (2004).
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  11. M. Castro, J. Macías and C. Parés, A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. ESAIM: M2AN 35 (2001) 107–127. [CrossRef] [EDP Sciences]
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  16. M. Pelanti, F. Bouchut, A. Mangeney and J.-P. Vilotte, Numerical modeling of two-phase gravitational granular flows with bottom topography, in Proc. of HYP06, Lyon, France (2007).
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